Harman Patil (Editor)

Dendrite (mathematics)

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Dendrite (mathematics)

In mathematics, a dendrite is a certain type of topological space that may be characterized either as a locally connected dendroid or equivalently as a locally connected continuum that contains no simple closed curves.

Importance

Dendrites may be used to model certain types of Julia set. For example, if 0 is pre-periodic, but not periodic, under the function f ( z ) = z 2 + c , then the Julia set of f is a dendrite.

References

Dendrite (mathematics) Wikipedia